cos2x – sin2x cos2x For What is F(x)? -dx=-F 3 +C cosx – sinx (sinx – cosx) 2 2 sinx + -cos'x + cosx+ =sin³x 3 3 O (cscx – secx)3 2 2 -cos³x 3 - cosx+ -sin³x sinx

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: secx-tan x cos x %3D 1+sin x secx+tanx

A: consider the left hand side of the equation sec x -tan xsec x +tan x sec x -tan xsec x +tan x=1cos x…

Q: 2 + tan? (t) Simplify -1 to a single trig function. sec2 (t) No quotients. 2 + tan? (t) sec2 (t)…

A: Use the trigonometry identities and simplify.

Q: JO π 3 sec³ x tan x V √2 + secx dx

A:

Q: cos-1 3x dx 1- 9x2 3

A: Answer

Q: cos-1 (cosx)= x       where..............

A: Given, cos-1cos x=x

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: 4 sec 2x tan 2x dx (1+ sec 2x)²

A:

Q: -tanx cscx+2secx cos² 1/2

A: Solution: The objective is to find the value of the given expression

Q: 5. f Scot(x/3) sin²(x/3) -dx

A:

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: sin x = csc 2x cos x cos 3x sec 2x

A:

Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

A:

Q: 3 evaluate f sec³ (x) tan³(x)dx Select one: sec (x) sec (x) + C 3 sec (x) sec (x) + C 3 sec (x) sec…

A: Let's find integration of given function.

Q: Cos (-x)= - Cosx

A: Let, cos-1(-x)=yThen,-x=cosyx=-cosy

Q: cos2x- sin2 cos2x For dr=F(x) +C What is F(x)? cOSx-sinx A -3 sinx- cosX 2. Cos - COSX+sinPx 3 B…

A:

Q: 3 cos xdx 1-sinx

A:

Q: f(x) = 2 sinx+1 2. What are two similarities and two differences between Use proper terminology and…

A: We have to find the similarity and differences of the given functions.